961835445494784 has 1485 divisors, whose sum is σ = 3429348287388387. Its totient is φ = 259596158459904.

The previous prime is 961835445494723. The next prime is 961835445494839. The reversal of 961835445494784 is 487494544538169.

The square root of 961835445494784 is 31013472.

It is a perfect power (a square), and thus also a powerful number.

961835445494784 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 3 + 5 + 4 + 45 + 494 + 7 + 84 = 666.

Its product of digits (16721510400) is a multiple of the sum of its prime divisors (378).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2771860073299 + ... + 2771860073645.

Almost surely, 2^{961835445494784} is an apocalyptic number.

961835445494784 is the 31013472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961835445494784

961835445494784 is an abundant number, since it is smaller than the sum of its proper divisors (2467512841893603).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961835445494784 is an frugal number, since it uses more digits than its factorization.

961835445494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 378 counting only the distinct ones).

The product of its digits is 16721510400, while the sum is 81.

The spelling of 961835445494784 in words is "nine hundred sixty-one trillion, eight hundred thirty-five billion, four hundred forty-five million, four hundred ninety-four thousand, seven hundred eighty-four".